Uniform expansion bounds for Cayley graphs of SL2 (Fp)

• 成果类型: Article
• 署名作者: Boupgain, Jean; Gamburd, Alex
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2008
• 页码: 625-642
• 关键词: expanders; product; FIELDS

摘要

We prove that Cayley graphs of SL2(F-p) are expanders with respect to the projection of any fixed elements in SL(2,Z) generating a non-elementary subgroup, and with respect to generators chosen at random in SL2(F-p).